不确定时变时滞切换广义系统的鲁棒H_∞保性能控制  

Robust H_∞ guaranteed cost control for uncertain switched singular systems with time-varying delay

作　　者：杨坤[1,2] 沈艳霞[1,2] 纪志成[1,2] 

机构地区：[1]江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122 [2]江南大学电气自动化研究所,江苏无锡214122

出　　处：《控制与决策》2013年第5期787-790,796,共5页Control and Decision

基　　金：国家自然科学基金项目(61174032);教育部新世纪优秀人才支持计划项目(NCET-10-0437);中央高校基本科研业务费专项基金项目(JUDCF11040)

摘　　要：利用公共Lyapunov泛函方法和凸组合技术研究了一类不确定时变时滞切换广义系统的鲁棒H∞保性能控制和状态反馈镇定问题.在设定的切换规则下,给出了基于线性矩阵不等式表示的鲁棒H∞保性能控制器存在的充分条件,保证了系统具有鲁棒H∞干扰抑制水平及状态反馈可切换镇定的同时满足保性能指标.最后的仿真示例验证了该方法的有效性.The problems of robust H∞ guaranteed cost control and feedback stabilization for a class of uncertain switched singular systems with time-varying delay are studied based on the Lyapunov function approach and convex combination techniques. A sufficient condition for the existences of robust H∞ guaranteed cost controller and switching strategy are given, and the designed state feedback controllers in terms of linear matrix inequality ensure that the closed-loop systems satisfy the guaranteed cost index with a presented H∞ disturbance attenuation level ＇y. Finally, an illustrative example shows the effectiveness of the proposed method.

关 键 词：切换广义系统 线性矩阵不等式 鲁棒H∞控制 保性能控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]